72438102 has 72 divisors (see below), whose sum is σ = 175113120. Its totient is φ = 21621600.

The previous prime is 72438083. The next prime is 72438131. The reversal of 72438102 is 20183427.

It is a super-4 number, since 4×72438102⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171852 + ... + 172272.

Almost surely, 2^72438102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72438102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87556560).

72438102 is an abundant number, since it is smaller than the sum of its proper divisors (102675018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72438102 is a wasteful number, since it uses less digits than its factorization.

72438102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72438102 is about 8511.0576311055. The cubic root of 72438102 is about 416.8588449662.

The spelling of 72438102 in words is "seventy-two million, four hundred thirty-eight thousand, one hundred two".